William Herschel, Flamsteed Numbers and Harris's Star

Total Page:16

File Type:pdf, Size:1020Kb

William Herschel, Flamsteed Numbers and Harris's Star JHA, Vol 45(3), 2014 WILLIAM HERSCHEL, FLAMSTEED NUMBERS AND HARRIS’S STAR MAPS WOLFGANG STEINICKE, Umkirch, Germany Abstract The paper discusses the origin of the commonly used Flamsteed star numbers, which are missing in John Flamsteed’s British Catalogue (1725) and accompanying Atlas coelestis (1729). Johann Elert Bode introduced these numbers in the Sammlung Astronomischer Tafeln (1776). Herschel independently created them in 1781 for his third star review. At that time he purchased Flamsteed’s Atlas coelestis and the question arises, which star chart did he use before, especially when Uranus was discovered. This leads to two star maps, linked to the Welsh astronomer Joseph Harris and based on stars whose positions were measured by Flamsteed and Halley. Key words John Flamsteed, Edmond Halley, Johann Elert Bode, Joseph Harris, British Catalogue, Atlas coelestis, star reviews, double stars, Uranus Flamsteed and Halley: Perfectionism and Piracy Astronomers are familiar with star designations such as 19 Orionis, going back to John Flamsteed (1646–1719), the first Astronomer Royal at Greenwich. This star is better known as Rigel or β Orionis. Though star names are old, Greek letters were not introduced until 1603, by Johann Bayer in his famous star atlas Uranometria, based on a catalogue of nearly 1200 stars.1 A century later, Flamsteed measured the positions of some 3500 stars with a mural arc and sextant. Unfortunately, during his lifetime he published neither his catalogue nor the related star charts, which did not appear until 1725 and 1729 respectively. Surprisingly, neither publication contains Flamsteed numbers! So, who numbered the stars and when? To solve the mystery one must go back to Edmond Halley (1656–1742). Pressured by Isaac Newton, President of the Royal Society, Halley edited an unauthor- ized version of Flamsteed’s catalogue in 1712, when 100 copies were distributed. The catalogue lists 2866 stars, ordered by constellation. In each constellation they are arranged by increasing right ascension — and grouped in units of 5. The numbers are given in the first column, headed “Britain”.2 Flamsteed was angry about the pirated edition, not only because Halley had stolen his data, but even more because his work was still unfinished. Flamsteed the perfection- ist feared to be linked with incorrect data. A few years later he gained control of 300 as yet undistributed copies and burned the parts he did not like, in front of the observatory. Pages consigned to the flames included the catalogue and the spurious part of the work, which professed to be his observations made with the mural arc.3 However, for future use he saved at least one copy of Halley’s pirated edition, consisting of those parts otherwise burned (mainly the catalogue). A copy — containing unique annotations — is in the Copyright © The Author(s) 2014 288 Wolfgang Steinicke possession of Owen Gingerich;4 these annotations were made by Flamsteed’s assistant Joseph Crosthwait,5 of course following instructions of the Astronomer Royal. They show that some stars should be moved from one constellation to another and, interestingly, the column “Britain” is crossed out (Figure 1). For his edition, Halley used a manuscript of Flamsteed, written in 1707 (and now in Cambridge University Library). It shows the stars grouped in units of 3 and numbered in units of 5. This finding led to the interpretation that it was Flamsteed who invented the (preliminary) numbers — and not Halley.6 But this must be doubted for two reasons:7 (1) the different grouping, and (2) the fact that the first column, presenting the numbers in units of 5, seems to be added later (in a slightly different handwriting). The annotations could have been made by Halley when preparing the 1712 catalogue. In June 1716 Flamsteed sent the rescued part of Halley’s catalogue (with Crosthwait’s annotations) to Abraham Sharp (1653–1742); Sharp had worked for Flamsteed until 1700 and later was involved in the final publication of the catalogue. The handwritten corrections clearly do not represent Flamsteed’s final disposition of the stars (Figure 2). He still had a few years to rethink which constellation the observed stars belonged to, and in particular he decided to include the new constellations introduced by Hevelius. The perfectionistic Flamsteed took his time to fine-tune his catalogue, with the result that the astronomical community had to wait until 1725 — six years after his death! — for the official edition: the Stellarum inerrantium Catalogus Britannicus ad annum Christi completum 1689, known as the British Catalogue. The star catalogue is con- tained in the third of three volumes, published as Historia coelestis Britannica (vols i and ii give the observational data, dating from 1675–89 and 1689–1720 respectively). The British Catalogue is the basis of Flamsteed’s Atlas coelestis; this influential star atlas appeared in 1729.8 If one compares the published British Catalogue with Halley’s 1712 version, there are some remarkable differences. (1) There are no star numbers. (2) The constellations are ordered in a different way. (3) Some stars have been shifted from one constella- tion to another. (4) 53 stars have been added to those in the first two volumes of the Historia coelestis, so we now have 2919 stars; this changes the star order in the affected constellations. We can only speculate why Flamsteed did not use star numbers. Probably he was not satisfied with his catalogue right up to his death in 1719 and so he refrained from a final numbering — or perhaps he never wanted a numbering, and his wishes were respected by the editors of the British Catalogue. But the commonly used Flamsteed numbers are based on the British Catalogue, and Halley’s pirate edition is not the source. Though Halley introduced a “natural” numbering system, it was only preliminary. So the question remains, who introduced them and when they were published? A possible choice is John Bevis (1695–1771), the creator of the “forgotten” star atlas Uranographia Britannica.9 It is known that the star catalogue on which it is based, made about 1750, contains Flamsteed numbers. Bevis obviously was inspired by Halley. Unfortunately, this work was never published (only the plates were printed, but they do not show numbers). William Herschel, Flamsteed Numbers and Harris’s Star Maps 289 FIG. 1. Page of Halley’s 1712 unauthorized edition of Flamsteed’s star catalogue, showing Lyra and the first stars of Cygnus. The stars are numbered in the column “Britain”. The marks in the right margin, made by Flamsteed’s assistant, Joseph Crosthwait, show where stars were moved. Stars a and b went from Cygnus (below) to Lyra (above) and two to Vulpecula (compare Fig. 2). The fainter crossed lines cancel Halley’s descriptions and the numbers that Flamsteed did not like in the left-most column. Collection of Owen Gingerich. 290 Wolfgang Steinicke FIG. 2. Tables of Flamsteed’s British catalogue, published 1725, showing Lyra and the first stars of Cygnus (now on different pages). The Cygnus stars a and b (see Fig. 1) are now in Lyra: a = 13 (π) Lyr, b = 16 (ρ) Lyr. Star c is now 1 (κ) Cyg (note that the right ascension arcminute was corrected from 27 to 28). Star d should move to Lyra, but is still in Cygnus (4 Cyg). The two stars in Fig. 1 moved to Vulpecula became 2 Vul and 10 Vul (page not shown). The Role of Johann Elert Bode On the basis of research by Deborah Warner, it has been widely accepted that Flamsteed numbers were introduced by Joseph Jérôme Lalande in his revision of the British Catalogue, published 1783 in the French almanac Éphémérides des mouvemens célestes.10 But this is not the earliest source, for the eminent Berlin populariser of William Herschel, Flamsteed Numbers and Harris’s Star Maps 291 astronomy Johann Elert Bode (1747–1826) had presented them as early as 1776.11 The numbers are contained in the Sammlung Astronomischer Tafeln, a three-volume collection of astronomical tables, made in partnership with Johann Heinrich Lambert and Johann Karl Gottlieb Schulze. Vol. i contains an 89-page star catalogue, compiled by Bode.12 This “Stern-Verzeichnis nach vier Astronomen” assembles the star catalogues of Hevelius, Flamsteed, Lacaille and Bradley.13 Concerning Flamsteed, Bode wrote: “Flamsteads [sic] vollständiges Verzeichnis, welches sich in seiner Historia Coelestis 3ten Bandes der 2ten Auflage von 1725 befindet [Flamsteed’s complete catalogue which is in vol. 3 of the second edition of the Historia Coelestis of 1725].” When Bode speaks of the second edition, he must regard Halley’s publication of 1712 as the first. The catalogue lists 3175 stars. They are arranged by constellation, starting with Cassiopeia (see Figure 3). The first column, headed “Fl. No”, gives the correct Flamsteed number. The positions (right ascension, declination) are calculated for 1800. Thus Bode’s star catalogue of 1776 is an extended and updated version of the British Catalogue. Bode was to use the Flamsteed numbers in his new almanac, Astronomisches Jahrbuch. It regularly contained a table, titled “Verzeichnis der 280 der vornehmsten Fixsterne [List of the 280 most prominent fixed stars]”. In the first two issues, for the years 1778 and 1779 (published in 1776 and 1777), the table does not show these numbers, but the third almanac, Astronomisches Jahrbuch für 1781 (published in 1778), does give them.14 The first column is headed “No. nach Flamsteed” (the table starts with “88 | Algenib im Pegasus”). Strangely, the Flamsteed column is omitted from 1781 (Jahrbuch for 1784) onwards. In 1782 Bode published his popular star atlas Vorstellung der Gestirne.15 The second part of the introduction presents the stellar basis: a catalogue of 5058 stars, covering 37 pages.
Recommended publications
  • Messier Objects
    Messier Objects From the Stocker Astroscience Center at Florida International University Miami Florida The Messier Project Main contributors: • Daniel Puentes • Steven Revesz • Bobby Martinez Charles Messier • Gabriel Salazar • Riya Gandhi • Dr. James Webb – Director, Stocker Astroscience center • All images reduced and combined using MIRA image processing software. (Mirametrics) What are Messier Objects? • Messier objects are a list of astronomical sources compiled by Charles Messier, an 18th and early 19th century astronomer. He created a list of distracting objects to avoid while comet hunting. This list now contains over 110 objects, many of which are the most famous astronomical bodies known. The list contains planetary nebula, star clusters, and other galaxies. - Bobby Martinez The Telescope The telescope used to take these images is an Astronomical Consultants and Equipment (ACE) 24- inch (0.61-meter) Ritchey-Chretien reflecting telescope. It has a focal ratio of F6.2 and is supported on a structure independent of the building that houses it. It is equipped with a Finger Lakes 1kx1k CCD camera cooled to -30o C at the Cassegrain focus. It is equipped with dual filter wheels, the first containing UBVRI scientific filters and the second RGBL color filters. Messier 1 Found 6,500 light years away in the constellation of Taurus, the Crab Nebula (known as M1) is a supernova remnant. The original supernova that formed the crab nebula was observed by Chinese, Japanese and Arab astronomers in 1054 AD as an incredibly bright “Guest star” which was visible for over twenty-two months. The supernova that produced the Crab Nebula is thought to have been an evolved star roughly ten times more massive than the Sun.
    [Show full text]
  • Chapter Two: the Astronomers and Extraterrestrials
    Warning Concerning Copyright Restrictions The Copyright Law of the United States (Title 17, United States Code) governs the making of photocopies or other reproductions of copyrighted materials, Under certain conditions specified in the law, libraries and archives are authorized to furnish a photocopy or other reproduction, One of these specified conditions is that the photocopy or reproduction is not to be used for any purpose other than private study, scholarship, or research , If electronic transmission of reserve material is used for purposes in excess of what constitutes "fair use," that user may be liable for copyright infringement. • THE EXTRATERRESTRIAL LIFE DEBATE 1750-1900 The idea of a plurality of worlds from Kant to Lowell J MICHAEL]. CROWE University of Notre Dame TII~ right 0/ ,It, U,,;v"Jily 0/ Camb,idg4' to P'''''' a"d s,1I all MO""" of oooks WM grattlrd by H,rr,y Vlf(;ff I $J4. TM U,wNn;fyltas pritr"d and pu"fisllrd rOffti",.ously sincr J5U. Cambridge University Press Cambridge London New York New Rochelle Melbourne Sydney Published by the Press Syndicate of the University of Cambridge In lovi ng The Pirr Building, Trumpingron Srreer, Cambridge CB2. I RP Claire H 32. Easr 57th Streer, New York, NY 1002.2., U SA J 0 Sramford Road, Oakleigh, Melbourne 3166, Australia and Mi ha © Cambridge Univ ersiry Press 1986 firsr published 1986 Prinred in rh e Unired Srares of America Library of Congress Cataloging in Publication Data Crowe, Michael J. The exrrarerresrriallife debare '750-1900. Bibliography: p. Includes index. I. Pluraliry of worlds - Hisrory.
    [Show full text]
  • August 13 2016 7:00Pm at the Herrett Center for Arts & Science College of Southern Idaho
    Snake River Skies The Newsletter of the Magic Valley Astronomical Society www.mvastro.org Membership Meeting President’s Message Saturday, August 13th 2016 7:00pm at the Herrett Center for Arts & Science College of Southern Idaho. Public Star Party Follows at the Colleagues, Centennial Observatory Club Officers It's that time of year: The City of Rocks Star Party. Set for Friday, Aug. 5th, and Saturday, Aug. 6th, the event is the gem of the MVAS year. As we've done every Robert Mayer, President year, we will hold solar viewing at the Smoky Mountain Campground, followed by a [email protected] potluck there at the campground. Again, MVAS will provide the main course and 208-312-1203 beverages. Paul McClain, Vice President After the potluck, the party moves over to the corral by the bunkhouse over at [email protected] Castle Rocks, with deep sky viewing beginning sometime after 9 p.m. This is a chance to dig into some of the darkest skies in the west. Gary Leavitt, Secretary [email protected] Some members have already reserved campsites, but for those who are thinking of 208-731-7476 dropping by at the last minute, we have room for you at the bunkhouse, and would love to have to come by. Jim Tubbs, Treasurer / ALCOR [email protected] The following Saturday will be the regular MVAS meeting. Please check E-mail or 208-404-2999 Facebook for updates on our guest speaker that day. David Olsen, Newsletter Editor Until then, clear views, [email protected] Robert Mayer Rick Widmer, Webmaster [email protected] Magic Valley Astronomical Society is a member of the Astronomical League M-51 imaged by Rick Widmer & Ken Thomason Herrett Telescope Shotwell Camera https://herrett.csi.edu/astronomy/observatory/City_of_Rocks_Star_Party_2016.asp Calendars for August Sun Mon Tue Wed Thu Fri Sat 1 2 3 4 5 6 New Moon City Rocks City Rocks Lunation 1158 Castle Rocks Castle Rocks Star Party Star Party Almo, ID Almo, ID 7 8 9 10 11 12 13 MVAS General Mtg.
    [Show full text]
  • The Midnight Sky: Familiar Notes on the Stars and Planets, Edward Durkin, July 15, 1869 a Good Way to Start – Find North
    The expression "dog days" refers to the period from July 3 through Aug. 11 when our brightest night star, SIRIUS (aka the dog star), rises in conjunction* with the sun. Conjunction, in astronomy, is defined as the apparent meeting or passing of two celestial bodies. TAAS Fabulous Fifty A program for those new to astronomy Friday Evening, July 20, 2018, 8:00 pm All TAAS and other new and not so new astronomers are welcome. What is the TAAS Fabulous 50 Program? It is a set of 4 meetings spread across a calendar year in which a beginner to astronomy learns to locate 50 of the most prominent night sky objects visible to the naked eye. These include stars, constellations, asterisms, and Messier objects. Methodology 1. Meeting dates for each season in year 2018 Winter Jan 19 Spring Apr 20 Summer Jul 20 Fall Oct 19 2. Locate the brightest and easiest to observe stars and associated constellations 3. Add new prominent constellations for each season Tonight’s Schedule 8:00 pm – We meet inside for a slide presentation overview of the Summer sky. 8:40 pm – View night sky outside The Midnight Sky: Familiar Notes on the Stars and Planets, Edward Durkin, July 15, 1869 A Good Way to Start – Find North Polaris North Star Polaris is about the 50th brightest star. It appears isolated making it easy to identify. Circumpolar Stars Polaris Horizon Line Albuquerque -- 35° N Circumpolar Stars Capella the Goat Star AS THE WORLD TURNS The Circle of Perpetual Apparition for Albuquerque Deneb 1 URSA MINOR 2 3 2 URSA MAJOR & Vega BIG DIPPER 1 3 Draco 4 Camelopardalis 6 4 Deneb 5 CASSIOPEIA 5 6 Cepheus Capella the Goat Star 2 3 1 Draco Ursa Minor Ursa Major 6 Camelopardalis 4 Cassiopeia 5 Cepheus Clock and Calendar A single map of the stars can show the places of the stars at different hours and months of the year in consequence of the earth’s two primary movements: Daily Clock The rotation of the earth on it's own axis amounts to 360 degrees in 24 hours, or 15 degrees per hour (360/24).
    [Show full text]
  • Remembering Bill Bogardus Photographing the Moon
    Published by the Astronomical League Vol. 71, No. 2 March 2019 REMEMBERING BILL BOGARDUS PHOTOGRAPHING THE MOON 7.20.69 5 YEARS TREASURES OF THE LINDA HALL LIBRARY APOLLO 11 THE COSMIC WEB ONOMY T STR O T A H G E N P I E Contents G O N P I L R E B 4 . Reflector Mail ASTRONOMY DAY Join a Tour This Year! 4 . President’s Corner May 11 & 5 . International Dark-Sky Association From 37,000 feet above the Pacific Total Eclipse Flight: Chile October 5, 2019 6 . Night Sky Network Ocean, you’ll be high above any clouds, July 2, 2019 For a FREE 76-page seeing up to 3¼ minutes of totality in a dark sky that makes the Sun’s corona look 6 . Deep-Sky Objects Astronomy Day Handbook incredibly dramatic. Our flight will de- full of ideas and suggestions, part from and return to Santiago, Chile. 9 . Remembering Bill Bogardus skyandtelescope.com/2019eclipseflight go to: 10 . From Around the League www.astroleague.org Click on "Astronomy Day” African Stargazing Safari Join astronomer Stephen James PAGE 19 13 . Observing Awards Scroll down to "Free O’Meara in wildlife-rich Botswana July 29–August 4, 2019 Astronomy Day Handbook" for evening stargazing and daytime 14 . Basic Small-Scope Lunar Imaging safari drives at three luxury field For more information, contact: camps. Only 16 spaces available! 18 . The Vault of Heaven – Gary Tomlinson Optional extension to Victoria Falls. ̨̨̨̨̨̨̨̨̨̨̨̨̨̨̨Treasures of the Linda Hall Library Astronomy Day Coordinator skyandtelescope.com/botswana2019 [email protected] 24 . The Cosmic Web Iceland Aurorae 27 .
    [Show full text]
  • A Basic Requirement for Studying the Heavens Is Determining Where In
    Abasic requirement for studying the heavens is determining where in the sky things are. To specify sky positions, astronomers have developed several coordinate systems. Each uses a coordinate grid projected on to the celestial sphere, in analogy to the geographic coordinate system used on the surface of the Earth. The coordinate systems differ only in their choice of the fundamental plane, which divides the sky into two equal hemispheres along a great circle (the fundamental plane of the geographic system is the Earth's equator) . Each coordinate system is named for its choice of fundamental plane. The equatorial coordinate system is probably the most widely used celestial coordinate system. It is also the one most closely related to the geographic coordinate system, because they use the same fun­ damental plane and the same poles. The projection of the Earth's equator onto the celestial sphere is called the celestial equator. Similarly, projecting the geographic poles on to the celest ial sphere defines the north and south celestial poles. However, there is an important difference between the equatorial and geographic coordinate systems: the geographic system is fixed to the Earth; it rotates as the Earth does . The equatorial system is fixed to the stars, so it appears to rotate across the sky with the stars, but of course it's really the Earth rotating under the fixed sky. The latitudinal (latitude-like) angle of the equatorial system is called declination (Dec for short) . It measures the angle of an object above or below the celestial equator. The longitud inal angle is called the right ascension (RA for short).
    [Show full text]
  • Self-Organizing Systems in Planetary Physics: Harmonic Resonances Of
    Self-Organizing Systems in Planetary Physics : Harmonic Resonances of Planet and Moon Orbits Markus J. Aschwanden1 1) Lockheed Martin, Solar and Astrophysics Laboratory, Org. A021S, Bldg. 252, 3251 Hanover St., Palo Alto, CA 94304, USA; e-mail: [email protected] ABSTRACT The geometric arrangement of planet and moon orbits into a regularly spaced pattern of distances is the result of a self-organizing system. The positive feedback mechanism that operates a self-organizing system is accomplished by harmonic orbit resonances, leading to long-term stable planet and moon orbits in solar or stellar systems. The distance pattern of planets was originally described by the empirical Titius-Bode law, and by a generalized version with a constant geometric progression factor (corresponding to logarithmic spacing). We find that the orbital periods Ti and planet distances Ri from the Sun are not consistent with logarithmic spacing, 2/3 2/3 but rather follow the quantized scaling (Ri+1/Ri) = (Ti+1/Ti) = (Hi+1/Hi) , where the harmonic ratios are given by five dominant resonances, namely (Hi+1 : Hi)=(3:2), (5 : 3), (2 : 1), (5 : 2), (3 : 1). We find that the orbital period ratios tend to follow the quantized harmonic ratios in increasing order. We apply this harmonic orbit resonance model to the planets and moons in our solar system, and to the exo-planets of 55 Cnc and HD 10180 planetary systems. The model allows us a prediction of missing planets in each planetary system, based on the quasi- regular self-organizing pattern of harmonic orbit resonance zones. We predict 7 (and 4) missing exo-planets around the star 55 Cnc (and HD 10180).
    [Show full text]
  • Desert Skies
    Desert Skies Tucson Amateur Astronomy Association Volume LII, Number 7 July, 2006 Dark globule in the emission nebula IC 1396 contains never-before-seen young stars ♦ Learn about the Spitzer Infrared ♦ Websites: Gimme Shelter Part 4 Telescope ♦ Object of the Month ♦ Star parties and Meetings ♦ Constellation of the month Desert Skies: July, 2006 2 Volume LII, Number 7 Cover Photo: The Spitzer image of this globule is in spectacular contrast to the view seen in visible light. Spitzer's infra- red detectors unveiled the brilliant hidden interior of this opaque cloud of gas and dust for the first time, exposing never- before-seen young stars. Image: http://sscws1.ipac.caltech.edu/Imagegallery/image.php?image_name=ssc2003-06b TAAA Web Page: http://www.tucsonastronomy.org TAAA Phone Number: (520) 792-6414 Office/Position Name Phone E-mail Address President Bill Lofquist 297-6653 [email protected] Vice President Ken Shaver 762-5094 [email protected] Secretary Steve Marten 307-5237 [email protected] Treasurer Terri Lappin 977-1290 [email protected] Member-at-Large George Barber 822-2392 [email protected] Member-at-Large JD Metzger 760-8248 [email protected] Member-at-Large Teresa Plymate 883-9113 [email protected] Chief Observer Wayne Johnson 586-2244 [email protected] AL Correspondent (ALCor) Nick de Mesa 797-6614 [email protected] Astro-Imaging SIG Steve Peterson 762-8211 [email protected] Computers in Astronomy SIG Roger Tanner
    [Show full text]
  • The 2011 Observers Challenge List
    TMSP OBSERVER'S CHALLENGE 2011 By Kreig McBride and Tom Masterson All observations must be made at TMSP and 25 out of 30 objects must be viewed to earn a unique TMSP Observer's Award lapel pin. You must create a record of your observations which include date, time, instruments used and a brief description and/or sketch of the object. Your records will be returned to you. Size or ID Number V Magnitude Object Type Constellation RA Dec Description Separation The Sun! View 2 days noting changes. H-alpha, white 1 Sol -28m ½ degree Star Cancer 08h 39' +27d 07' light or projection is OK North Galactic Astronomical Catch this one before it sets. Next to the double star 31 2 N/A N/A Coma Berenices 12h 51' +27d 07' Pole Reference point Comae Berenices Omicron-2 a wide 4.9m, 9m double lies close by as does 3 U Cygni 5.9 – 12.1m N/A Carbon Star Cygnus 19.6h +47d 54' 6” diameter, 12.6m Planetary nebula NGC6884 4 M22 5.1m 7.8' Globular Cluster Sagittarius 18h 36.4' -23d 54' Rich, large and bright 5 NGC 6629 11.3m 15” Planetary Nebula Sagittarius 18h 25.7' -23d 12' Stellar at low powers. Central Star is 12.8m 6 Barnard 86 N/A 5' Dark Nebula Sagittarius 18h 03' -27d 53' “Ink Spot” Imbedded in spectacular star field Faint 1' glow surrounding 9.5m star w/a faint companion 7 NGC 6589-90 N/A 5' x 3' Reflection Nebula Sagittarius 18h 16.9'' -19d 47' 25” to its SW A 3.2m, B Reddish/Orange primary, B white, C is 10m companion 8 ETA Sagittarii 3.6m, C 10m, AB pair 3.6” Quadruple Star Sagittarius 18h 17.6' -36d 46' 93” distant at PA303d and D is 13m star 33”
    [Show full text]
  • The Astronomical Work of Carl Friedrich Gauss
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector HISTORIA MATHEMATICA 5 (1978), 167-181 THE ASTRONOMICALWORK OF CARL FRIEDRICH GAUSS(17774855) BY ERIC G, FORBES, UNIVERSITY OF EDINBURGH, EDINBURGH EH8 9JY This paper was presented on 3 June 1977 at the Royal Society of Canada's Gauss Symposium at the Ontario Science Centre in Toronto [lj. SUMMARIES Gauss's interest in astronomy dates from his student-days in Gattingen, and was stimulated by his reading of Franz Xavier von Zach's Monatliche Correspondenz... where he first read about Giuseppe Piazzi's discovery of the minor planet Ceres on 1 January 1801. He quickly produced a theory of orbital motion which enabled that faint star-like object to be rediscovered by von Zach and others after it emerged from the rays of the Sun. Von Zach continued to supply him with the observations of contemporary European astronomers from which he was able to improve his theory to such an extent that he could detect the effects of planetary perturbations in distorting the orbit from an elliptical form. To cope with the complexities which these introduced into the calculations of Ceres and more especially the other minor planet Pallas, discovered by Wilhelm Olbers in 1802, Gauss developed a new and more rigorous numerical approach by making use of his mathematical theory of interpolation and his method of least-squares analysis, which was embodied in his famous Theoria motus of 1809. His laborious researches on the theory of Pallas's motion, in whi::h he enlisted the help of several former students, provided the framework of a new mathematical formu- lation of the problem whose solution can now be easily effected thanks to modern computational techniques.
    [Show full text]
  • Culmination of a Constellation
    Culmination of a Constellation Over any night, stars and constellations in the sky will appear to move from east to west due to the Earth’s rotation on its axis. A constellation will culminate (reach its highest point in the sky for your location) when it centres on the meridian - an imaginary line that runs across the sky from north to south and also passes through the zenith (the point high in the sky directly above your head). For example: When to Observe Constellations The taBle shows the approximate time (AEST) constellations will culminate around the middle (15th day) of each month. Constellations will culminate 2 hours earlier for each successive month. Note: add an hour to the given time when daylight saving time is in effect. The time “12” is midnight. Sunrise/sunset times are rounded off to the nearest half an hour. Sun- Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Rise 5am 5:30 6am 6am 7am 7am 7am 6:30 6am 5am 4:30 4:30 Set 7pm 6:30 6pm 5:30 5pm 5pm 5pm 5:30 6pm 6pm 6:30 7pm And 5am 3am 1am 11pm 9pm Aqr 5am 3am 1am 11pm 9pm Aql 4am 2am 12 10pm 8pm Ara 4am 2am 12 10pm 8pm Ari 5am 3am 1am 11pm 9pm Aur 10pm 8pm 4am 2am 12 Boo 3am 1am 11pm 9pm 7pm Cnc 1am 11pm 9pm 7pm 3am CVn 3am 1am 11pm 9pm 7pm CMa 11pm 9pm 7pm 3am 1am Cap 5am 3am 1am 11pm 9pm 7pm Car 2am 12 10pm 8pm 6pm Cen 4am 2am 12 10pm 8pm 6pm Cet 4am 2am 12 10pm 8pm Cha 3am 1am 11pm 9pm 7pm Col 10pm 8pm 4am 2am 12 Com 3am 1am 11pm 9pm 7pm CrA 3am 1am 11pm 9pm 7pm CrB 4am 2am 12 10pm 8pm Crv 3am 1am 11pm 9pm 7pm Cru 3am 1am 11pm 9pm 7pm Cyg 5am 3am 1am 11pm 9pm 7pm Del
    [Show full text]
  • (Also Designated NGC 5904) Is a Globular Cluster in the Constellation Serpens
    MESSIER 5 GLOBULAR CLUSTER Messier 5 or M5 (also designated NGC 5904) is a globular cluster in the constellation Serpens. It was discovered by Gottfried Kirch in 1702 when looking for comets. It should not be confused with the much fainter and more distant globular cluster Palomar 5, which is situated nearby in the sky. DISCOVERY AND VISIBILITY M5 is, under extremely good conditions, just visible to the naked eye as a faint "star" near the star 5 Serpentis. Binoculars or small telescopes will identify the object as non-stellar while larger telescopes will show some individual stars, of which the brightest are of apparent magnitude 12.2. Charles Messier also noted it in 1764, but thought it a nebula without any stars associated with it. William Herschel was the first to resolve individual stars in the cluster in 1791, counting roughly 200. (see below for Messier 5 by Hubble Space Telescope details on William Herschel). CHARACTERISTICS Spanning 165 light-years in diameter, M5 is one of the largest known globular clusters. The gravitational sphere of influence of M5, (i.e. the volume of space in which stars are gravitationally bound to it rather than being torn away by the Milky Way's gravitational pull) has a radius of some 200 light-years. At 13 billion years old, M5 is also one of the oldest globular clusters in the Milky Way Galaxy. Its distance is about 24,500 light-years from Earth, and it contains more than 100,000 stars. NOTABLE STARS 105 stars in M5 are known to be variable in brightness, 97 of them belonging to the RR Lyrae type.
    [Show full text]